TSTP Solution File: SET821-2 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SET821-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 15:13:19 EDT 2024
% Result : Unsatisfiable 0.17s 0.35s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 9
% Syntax : Number of formulae : 22 ( 8 unt; 0 def)
% Number of atoms : 51 ( 18 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 44 ( 15 ~; 29 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-3 aty)
% Number of variables : 27 ( 27 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f65,plain,
$false,
inference(resolution,[],[f54,f11]) ).
fof(f11,plain,
! [X0] : ~ c_less(X0,X0,tc_IntDef_Oint),
inference(resolution,[],[f1,f10]) ).
fof(f10,axiom,
class_Orderings_Oorder(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_31) ).
fof(f1,axiom,
! [X0,X1] :
( ~ class_Orderings_Oorder(X0)
| ~ c_less(X1,X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Orderings_Oorder__less__irrefl__iff1_0) ).
fof(f54,plain,
c_less(v_b,v_b,tc_IntDef_Oint),
inference(backward_demodulation,[],[f7,f53]) ).
fof(f53,plain,
v_a = v_b,
inference(resolution,[],[f52,f11]) ).
fof(f52,plain,
( c_less(v_b,v_b,tc_IntDef_Oint)
| v_a = v_b ),
inference(superposition,[],[f8,f46]) ).
fof(f46,plain,
( v_b = v_c
| v_a = v_b ),
inference(resolution,[],[f42,f5]) ).
fof(f5,axiom,
! [X0,X1,X5] : c_in(X1,c_insert(X1,X5,X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OinsertCI_1) ).
fof(f42,plain,
! [X0] :
( ~ c_in(v_a,X0,tc_IntDef_Oint)
| v_a = v_b
| v_b = v_c ),
inference(resolution,[],[f37,f4]) ).
fof(f4,axiom,
! [X0,X6,X4,X5] :
( c_in(X4,c_insert(X6,X5,X0),X0)
| ~ c_in(X4,X5,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OinsertCI_0) ).
fof(f37,plain,
! [X0] :
( ~ c_in(v_a,c_insert(v_c,X0,tc_IntDef_Oint),tc_IntDef_Oint)
| v_b = v_c
| v_a = v_b ),
inference(resolution,[],[f34,f5]) ).
fof(f34,plain,
! [X0] :
( ~ c_in(v_c,X0,tc_IntDef_Oint)
| v_a = v_b
| v_b = v_c
| ~ c_in(v_a,X0,tc_IntDef_Oint) ),
inference(resolution,[],[f31,f2]) ).
fof(f2,axiom,
! [X2,X3,X0] :
( ~ c_in(X2,c_uminus(X3,tc_set(X0)),X0)
| ~ c_in(X2,X3,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OComplD__dest_0) ).
fof(f31,plain,
! [X0] :
( c_in(v_a,c_uminus(X0,tc_set(tc_IntDef_Oint)),tc_IntDef_Oint)
| v_b = v_c
| v_a = v_b
| ~ c_in(v_c,X0,tc_IntDef_Oint) ),
inference(resolution,[],[f28,f2]) ).
fof(f28,plain,
! [X0] :
( c_in(v_c,X0,tc_IntDef_Oint)
| v_b = v_c
| c_in(v_a,X0,tc_IntDef_Oint)
| v_a = v_b ),
inference(resolution,[],[f26,f5]) ).
fof(f26,plain,
! [X0,X1] :
( ~ c_in(v_b,c_insert(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
| v_c = X0
| c_in(v_c,X1,tc_IntDef_Oint)
| c_in(v_a,X1,tc_IntDef_Oint)
| v_a = X0 ),
inference(resolution,[],[f25,f6]) ).
fof(f6,axiom,
! [X3,X0,X6,X4] :
( ~ c_in(X4,c_insert(X6,X3,X0),X0)
| c_in(X4,X3,X0)
| X4 = X6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OinsertE_0) ).
fof(f25,plain,
! [X0,X1] :
( c_in(v_a,c_insert(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint)
| v_c = X1
| ~ c_in(v_b,c_insert(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint)
| c_in(v_c,X0,tc_IntDef_Oint) ),
inference(resolution,[],[f6,f9]) ).
fof(f9,axiom,
! [X7] :
( c_in(v_c,X7,tc_IntDef_Oint)
| ~ c_in(v_b,X7,tc_IntDef_Oint)
| c_in(v_a,X7,tc_IntDef_Oint) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f8,axiom,
c_less(v_b,v_c,tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f7,axiom,
c_less(v_a,v_b,tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SET821-2 : TPTP v8.1.2. Released v3.2.0.
% 0.10/0.12 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.33 % Computer : n014.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Tue Apr 30 01:28:19 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.17/0.33 % (30350)Running in auto input_syntax mode. Trying TPTP
% 0.17/0.35 % (30353)WARNING: value z3 for option sas not known
% 0.17/0.35 % (30355)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.17/0.35 % (30357)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.17/0.35 % (30352)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.17/0.35 % (30354)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.17/0.35 % (30353)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.17/0.35 % (30351)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.17/0.35 % (30356)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.17/0.35 TRYING [1]
% 0.17/0.35 TRYING [2]
% 0.17/0.35 TRYING [3]
% 0.17/0.35 % (30356)First to succeed.
% 0.17/0.35 TRYING [1]
% 0.17/0.35 % (30357)Also succeeded, but the first one will report.
% 0.17/0.35 TRYING [2]
% 0.17/0.35 TRYING [4]
% 0.17/0.35 % (30353)Also succeeded, but the first one will report.
% 0.17/0.35 % (30356)Refutation found. Thanks to Tanya!
% 0.17/0.35 % SZS status Unsatisfiable for theBenchmark
% 0.17/0.35 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.35 % (30356)------------------------------
% 0.17/0.35 % (30356)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.17/0.35 % (30356)Termination reason: Refutation
% 0.17/0.35
% 0.17/0.35 % (30356)Memory used [KB]: 770
% 0.17/0.35 % (30356)Time elapsed: 0.005 s
% 0.17/0.35 % (30356)Instructions burned: 6 (million)
% 0.17/0.35 % (30356)------------------------------
% 0.17/0.35 % (30356)------------------------------
% 0.17/0.35 % (30350)Success in time 0.019 s
%------------------------------------------------------------------------------